KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 1 of 172
Appeared in Year: 2010
Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –
Since it is given that,
Both are either positive or both are negative.
Also, , Therefore only two roots are possible in interval of (a, b).